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Infinite Transitivity on Affine Varieties

Ivan Arzhantsev (), Hubert Flenner (), Shulim Kaliman (), Frank Kutzschebauch () and Mikhail Zaidenberg ()
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Ivan Arzhantsev: Moscow State University, Department of Higher Algebra, Faculty of Mechanics and Mathematics
Hubert Flenner: Ruhr Universität Bochum, Fakultät für Mathematik
Shulim Kaliman: University of Miami, Department of Mathematics
Frank Kutzschebauch: Universität Bern, Mathematisches Institut
Mikhail Zaidenberg: Université Grenoble I

A chapter in Birational Geometry, Rational Curves, and Arithmetic, 2013, pp 1-13 from Springer

Abstract: Abstract In this note we survey recent results on automorphisms of affine algebraic varieties, infinitely transitive group actions and flexibility. We present related constructions and examples, and discuss geometric applications and open problems.

Keywords: Algebraic Group; Pezzo Surface; Affine Space; Open Orbit; Affine Variety (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-6482-2_1

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DOI: 10.1007/978-1-4614-6482-2_1

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